11494117728 has 288 divisors, whose sum is σ = 34800869376. Its totient is φ = 3730987008.

The previous prime is 11494117693. The next prime is 11494117729. The reversal of 11494117728 is 82771149411.

11494117728 is a `hidden beast` number, since 1 + 149 + 411 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11494117728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11494117729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90504801 + ... + 90504927.

It is an arithmetic number, because the mean of its divisors is an integer number (120836352).

Almost surely, 2^11494117728 is an apocalyptic number.

11494117728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11494117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400434688).

11494117728 is an abundant number, since it is smaller than the sum of its proper divisors (23306751648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11494117728 is a wasteful number, since it uses less digits than its factorization.

11494117728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The spelling of 11494117728 in words is "eleven billion, four hundred ninety-four million, one hundred seventeen thousand, seven hundred twenty-eight".